Multiplicative generalised polynomial sequences

We fully classify completely multiplicative sequences which are given by generalised polynomial formulae, and obtain a similar result for (not necessarily completely) multiplicative sequences under the additional restriction that the sequence is not zero almost everywhere.

Authors

Jakub Konieczny (ORCID: https://orcid.org/0000-0003-4119-8570)

Institutions

University of Oxford (GB)

Publication Details

Journal: Journal of Number Theory
Published: 2025-05-06
DOI: https://doi.org/10.1016/j.jnt.2025.03.007
Primary Topic: Analytic Number Theory Research
Type: article
Field-Weighted Citation Impact: 0.00

Funders

UK Research and Innovation

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article

Multiplicative generalised polynomial sequences

Jakub Konieczny

May 6, 2025

Journal of Number Theory

Analytic Number Theory Research

article

Multiplicative generalised polynomial sequences

Jakub Konieczny

May 6, 2025article en

Abstract

Journal of Number TheoryVol. 277

University of Oxford (GB)

UK Research and Innovation

Openalex Percentile: Top 86%

Analytic Number Theory Research

DOI Open Access PDF OpenAlex

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Multiplicative generalised polynomial sequences — Jakub Konieczny · Journal of Number Theory (2025) | TGRS Research Map | TGRS